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Simplifying 7x(c + -12) = -21 Reorder the terms: 7x(-12 + c) = -21 (-12 * 7x + c * 7x) = -21 Reorder the terms: (7cx + -84x) = -21 (7cx + -84x) = -21 Solving 7cx + -84x = -21 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '84x' to each side of the equation. 7cx + -84x + 84x = -21 + 84x Combine like terms: -84x + 84x = 0 7cx + 0 = -21 + 84x 7cx = -21 + 84x Divide each side by '7x'. c = -3x-1 + 12 Simplifying c = -3x-1 + 12 Reorder the terms: c = 12 + -3x-1
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